Least Common Multiple of 3369/868, 7938/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3369/868, 7938/214 quickly i.e. 4457187 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3369/868, 7938/214 is 4457187.

LCM(3369/868, 7938/214) = 4457187

LCM of 3369/868, 7938/214

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 3369/868,7938/214

Given numbers are 3369/868,7938/214

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 3369,7938

Least Common Multiple of Numerators i.e. LCM of 3369,7938 is 8914374.

GCF of Denominators means GCF of 868,214 as per the given fractions.

GCF of 868,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3369,7938

LCM of Fractions 3369/868,7938/214 is 4457187

3 3369, 7938
1123, 2646

∴ So the LCM of the given numbers is 3 x 1123 x 2646 = 8914374

Least Common Multiple of 3369,7938 with GCF Formula

Least Common Multiple of 3369,7938 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3369,7938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3369,7938) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(3369,7938) x common factors =3 x 1 = 3

LCM(3369,7938) = ( 3369 × 7938 ) / 3

LCM(3369,7938) = 26743122 / 3

LCM(3369,7938) = 8914374


Lets's calculate GCF of 868,214

2 868, 214
434, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8914374/2

Therefore the LCM of Fractions 3369/868,7938/214 is 4457187

Greatest Common Factor of 868,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,214 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 868,214 . The biggest common factor number is the GCF number.
So the greatest common factor 868,214 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3369/868, 7938/214

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 3369/868, 7938/214?

Answer: LCM of Numerators as per given numbers 3369/868, 7938/214 is

LCM of Numerators i.e. for 3369,7938 is 8914374

GCF of denominators i.e. for 868,214 is 2.

Thus, LCM of Fractions is 4457187.Finally, LCM of Fractions for 3369/868, 7938/214 is 4457187.